Question

find the lateral area of the cylinder. round your answer to the nearest tenth. square feet

Explanation:

Step1: Recall the lateral - area formula for a cylinder

The formula for the lateral area of a cylinder is $L = 2\pi rh$, where $r$ is the radius of the base and $h$ is the height of the cylinder.

Step2: Identify the values of $r$ and $h$

Given that $r = 9$ ft and $h=24$ ft.

Step3: Substitute the values into the formula

$L = 2\pi\times9\times24$.
First, calculate $2\times9\times24 = 432$. So, $L = 432\pi$.

Step4: Approximate the value

Using $\pi\approx3.14159$, we have $L\approx432\times3.14159 = 1356.48688$.
Rounding to the nearest tenth, $L\approx1356.5$.

Answer:

$1356.5$